If a, b ,c ,d are replaced by four distinct digits from 1 to 9 , inclusive, then the largest possible value of the difference of the decimals (a.b) and (c.d)[(a.b - c.d)] will be 8.6.
As per question statement, a, b ,c ,d are replaced by four distinct digits from 1 to 9 , inclusive.
We are required to calculate the largest possible value of the difference of the decimals (a.b) and (c.d).
Now, clearly, to obtain the largest difference between two decimals (a.b) and (c.d), (a.b) has to be the largest possible decimal within the given conditions and (c.d) has to be the least possible decimal.
Now, the largest decimal we can from using the numbers (1 to 9) is 9.8 and the smallest decimal we can from using the numbers (1 to 9) is 1.2.
That is, [(a.b) = (9.8)] and [(c.d) = (1.2)]
And, the difference of the Largest Decimal and the least decimal is bound to be the largest.
Therefore, .
- Decimal: relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten, a decimal is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
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